The Reds are set to travel to Spain later today ahead of their Champions League group stage clash with Atletico Madrid.
The manager was without both Alisson and Fabinho at Vicarage Road, but the pair will return to availability having travelled directly to Madrid from international duty with Brazil to avoid quarantine issues in the UK.
Klopp will also be able to call upon Jones again, with the midfielder having missed the Watford game due to a groin injury before returning to training.
Jones was part of the 21-man outfield squad to undergo a warmup led by head of fitness and conditioning Andreas Kornmayer, joined by academy midfielder Elijah Dixon-Bonner.
Dixon-Bonner, 20, is not currently part of Liverpool’s Champions League squad and is unlikely to travel, though he could be registered as part of List B as late as midnight on Monday.
The ex-Arsenal youth spent much of the summer on trial with League One side Portsmouth, but failed to secure a switch to Fratton Park and has returned to the under-23s squad, for whom he has made six appearances so far this term, scoring once.
Liverpool squad in training
Defenders: Van Dijk, Matip, Gomez, Konate, Phillips, Alexander-Arnold, Robertson, Tsimikas, Williams
Midfielders: Henderson, Milner, Keita, Jones, Oxlade-Chamberlain, Dixon-Bonner
Forwards: Salah, Mane, Firmino, Jota, Origi, Minamino